The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 0 1 1 1 X X 0 1 0 1 2X 1 1 2X 0 1 1 1 X 1 1 1 1 1 1 2X 1 0 1 1 1 1 1 0 2X 2X 1 0 1 0 0 0 X 2X X 2X 0 1 2 1 1 2X+2 X+2 X+1 1 X 1 2X+1 1 X+2 1 X+2 2X+1 1 0 2X+2 2X+1 0 1 2 X+1 2 1 X+2 2 X X+1 1 X+1 0 X+2 2X+1 2 1 1 1 2X+2 0 0 1 0 0 2X+1 2X+1 2X+2 2 1 2 2X 1 X+1 1 X X+2 2X+1 1 2X+2 2X 0 2 2 2X+2 X+2 2X+2 1 2 X 2X+2 2X+2 1 0 X+1 X 2X+1 X 1 2X+1 2X 2X+1 X X+1 2X X+2 X+1 X+2 2X+1 0 0 0 0 1 1 2X+1 2X+2 X X+2 2X+2 1 2X+2 0 2X+1 2X 2X X 0 1 2X X+1 X+1 2 1 X 2X+2 2X+2 0 2X+1 2 2 X+2 2X 2X+2 2X+1 X X+1 0 1 X+2 X+2 X+1 X+1 2 X+1 0 1 2X X 2 0 0 0 0 2X 0 2X 2X 0 0 X X 2X 2X 0 2X 0 0 X X 2X X 0 0 X X X 2X 0 2X X 0 X X 2X X 0 X 2X 0 X 2X X 2X 0 0 0 2X 2X 2X generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+204x^88+204x^89+444x^90+786x^91+522x^92+732x^93+1164x^94+594x^95+1084x^96+1332x^97+678x^98+1198x^99+1644x^100+828x^101+1258x^102+1530x^103+732x^104+1000x^105+1206x^106+486x^107+604x^108+666x^109+234x^110+204x^111+186x^112+96x^113+18x^114+30x^115+10x^117+2x^120+4x^123+2x^126 The gray image is a linear code over GF(3) with n=150, k=9 and d=88. This code was found by Heurico 1.16 in 4.7 seconds.